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12761874060 = 22351338342719
BaseRepresentation
bin10111110001010101…
…01011111010001100
31012221101201101002020
423320222223322030
5202114014432220
65510203130140
7631152065625
oct137052537214
935841641066
1012761874060
115459821961
122581b13950
131284c58b90
14890ca0a4c
154ea5b6040
hex2f8aabe8c

12761874060 has 96 divisors (see below), whose sum is σ = 38583336960. Its totient is φ = 3133108992.

The previous prime is 12761874053. The next prime is 12761874071. The reversal of 12761874060 is 6047816721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277381 + ... + 320099.

It is an arithmetic number, because the mean of its divisors is an integer number (401909760).

Almost surely, 212761874060 is an apocalyptic number.

12761874060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12761874060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19291668480).

12761874060 is an abundant number, since it is smaller than the sum of its proper divisors (25821462900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12761874060 is a wasteful number, since it uses less digits than its factorization.

12761874060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43127 (or 43125 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 12761874060 in words is "twelve billion, seven hundred sixty-one million, eight hundred seventy-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 383 390 766 780 1149 1532 1915 2298 3830 4596 4979 5745 7660 9958 11490 14937 19916 22980 24895 29874 42719 49790 59748 74685 85438 99580 128157 149370 170876 213595 256314 298740 427190 512628 555347 640785 854380 1110694 1281570 1666041 2221388 2563140 2776735 3332082 5553470 6664164 8330205 11106940 16361377 16660410 32722754 33320820 49084131 65445508 81806885 98168262 163613770 196336524 212697901 245420655 327227540 425395802 490841310 638093703 850791604 981682620 1063489505 1276187406 2126979010 2552374812 3190468515 4253958020 6380937030 12761874060